Calculus in MHD - Oh my God, what a mess...

This time around I have been playing with MHD equations and I have to say, "WHO THE HECK CAME UP WITH THIS SHI*...". I'm no theoretician so I feel just like a blind cook trying to prepare an exquisite plate of "aut cuizine française" or something like that.
I have to figure out a way of passing beyond theses awful calculations in order to continue my research.